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Finding the Fourth Proportional to 1,337.71, 2,006.83 and 947.85

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Solution

The fourth proportional to 1,337.71, 2,006.83 and 947.85 is: 1,421.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.71 : 2,006.83 = 947.85 : x
  2. Step 2: Convert to fraction form
    1,337.71/2,006.83 = 947.85/x
  3. Step 3: Cross multiply
    1,337.71x = 2,006.83 × 947.85
  4. Step 4: Simplify right side
    1,337.71x = 1,902,167.47
  5. Step 5: Solve for x
    x = 1,902,167.47/1,337.71
  6. Step 6: Final answer
    x = 1,421.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.